A study is undertaken to test the research hypothesis that a student’s knowledge of Thunder Bay improves with time spent in the city. A series of slides are prepared featuring Thunder Bay landmarks and are shown to a random sample of 15 geography majors from the Geography 1170 class. Each student receives a score out of 100 for the test. Two years later, the same students are assembled and given the same test. Scores are again recorded out of 100. 1. Calculate the Standard Error of the difference between the two scores. 2. Calculate the value of the test statistic, t* 3. Calculate the p-value for the test statistic. The degrees of freedom will be equal to the number of pairs less one.
A study is undertaken to test the research hypothesis that a student’s knowledge of Thunder Bay improves with time spent in the city. A series of slides are prepared featuring Thunder Bay landmarks and are shown to a random sample of 15 geography majors from the Geography 1170 class. Each student receives a score out of 100 for the test. Two years later, the same students are assembled and given the same test. Scores are again recorded out of 100.
1. Calculate the Standard Error of the difference between the two scores.
2. Calculate the value of the test statistic, t*
3. Calculate the p-value for the test statistic. The degrees of freedom will be equal to the number of pairs less one.
4. Using sentence form, write out what you can conclude from the study assuming that .05 was set as the alpha value.
![A work table for calculating a matched pairs t-test statistic is provide below. Some of the
entries have been completed for you. Complete the rest of the entries. Copy the completed
table into your answer submission.
Student
Test 1
Test 2
d
1
65
68
3
55
62
7
49
70
80
10
100
4
48
45
-3
9.
5
75
80
5
25
80
83
3
7
40
42
2
4
8
56
57
1
9
74
70
10
81
85
11
63
72
12
58
60
13
73
82
14
38
30
15
77
80
Sum
Average
2.
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